Daisie Rock: Mathematics
Collaboration
Ongoing projects are listed approximately in the order in which they started.
Projects in very early stages are not yet listed.
I have also worked with:
Sira Gratz
Eric J. Hanson ,
Kiyoshi Igusa ,
Karin M. Jacobsen ,
Ellen Kirkman
Maitreyee C. Kulkarni ,
Janina C. Letz
Jacob P. Matherne ,
Fatemeh Mohammadi ,
Kaveh Mousavand ,
Špela Špenko
Gordana Todorov ,
Francesca Zaffalon ,
and
Shijie Zhu .
Papers
Jump to: Peer reviewed , Submitted for peer review , Further preprints
Peer reviewed
(With M. C. Kulkarni, J. P. Matherne, and K. Mousavand) A Continuous Associahedron of Type A . Mathematische Zeitschrift (2025).
DOI: 10.1007/s00209-025-03864-x
(With F. Mohammadi and F. Zaffalon) Progress on Infinite Cluster Categories Related to Triangulations of the (Punctured) Disk . Journal of Algebra and its Applications special issue on "Cluster Algebras and Related Topics."
DOI: 10.1142/S0219498826501203
(With S. Zhu) Continuous Nakayama Representations . Applied Categorical Structures (2023).
DOI: 10.1007/s10485-023-09748-7
(With E. J. Hanson) Composition series of arbitrary cardinality in modular lattices and abelian categories . Advances in Mathematics (2023).
DOI: 10.1016/j.aim.2023.109292
(With E. J. Hanson) Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules . Journal of Algebra and its Applications (2022).
DOI: 10.1142/S0219498824500543
Continuous Quivers of Type A (IV) Continuous Mutation and Geometric Models of E-clusters . Algebras and Representation Theory (2022).
DOI: 10.1007/s10468-022-10175-w (With K. Igusa and G. Todorov) Continuous Quivers of Type A (III) Embeddings of Cluster Theories . Nagoya Mathematical Journal (2022),
DOI: 10.1017/nmj.2021.16
(With K. Igusa and G.Todorov) Continuous Quivers of Type A (I) Foundations . Rendiconti del Circolo Matematico di Palermo Series 2 (2022),
DOI: 10.1007/s12215-021-00691-x
Submitted for peer review
(with C. Cummings, S. Gratz, E. Kirkman, J. C. Letz, and Š. Špenko) An equivalence linking CM-types A∞ and D∞ , arXiv:2510.24642 , 2025
(With C. Paquette and E. Yıldırım) Categories of generalized (thread) quivers , arXiv:2410.14656 , 2024
(with K. Igusa) Continuous Stability Conditions of Type A and Measured Laminations of the Hyperbolic Plane , arXiv:2302.14792 , 2023
Continuous Quivers of Type A (II) The Auslander—Reiten space , arXiv:1910.04140 , 2019
Awaiting peer review at Algebra and Discrete Mathematics, based in Ukraine.
Further preprints
(with K. M. Jacobsen) Admissible ideals for k-linear categories , arXiv:2209.13944 , 2022
Cluster Theories and Cluster Structures of Type A , arXiv:2112.14795 , uploaded 2021, announced 2022
Conference Organization
I co-organized the following conferences.
Click an item to view more details.
Functor and Tensor Categories, Models And Systems
3—7 June 2024
Satellite Conference of the 9th European Congress of Mathematics
Conference webiste [Link ]
Universidade de Santiago de Compostela
Functor Categories, Model Theory, and Constructive Category Theory
3—7 July 2023
Universidad de Málaga
Algebraic Analysis, Functor Categories and Constructive Methods
7—10 March 2023
Universiteit Gent
Functor Categories, Model Theory, and Constructive Category Theory
11—15 July 2022
Universidad de Almería
Peer Review
I am or already have peer reviewed for the following journals / organisations.
American Mathematical Society Contemporary Mathematics
Applied Categorical Structures
Banff International Research Station for Mathematical Innovation and Discovery
Journal of Algebra and its Applications
Journal of Algebraic Combinatorics
Journal of Pure and Applied Algebra
Mathematische Zeitschrift
Proceedings of the American Mathematical Society
Symmetry, Integrability and Geometry: Methods and Applications
Presentations
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Jump to: Invited , Other , Poster
Invited Talks
On finite-ness, discrete-ness, and when to let them go
23-25 July 2025
Queer and Trans Mathematicians in Algebra and Representation Theory (QTMART)
Hausdorff Center for Mathemtics (Universität Bonn)
[remote talk]
Semi-discrete cluster categories
10 July 2025
Algebras and Representation Theory in Germany (ARTIG) 6
Ruhr Universität Bochum
[remote talk]
Semi-discrete cluster categories
26 march 2025
Women In Non-commutative Algebra and Representation Theory (WINART) 4
Banff International Research Station in Banff, Canada
[remote talk]
Composition Series of Arbitrary Cardinality in Modular Lattices
12 July 2023
SIAM Conference on Applied Algebraic Geometry (AG23)
Mini symposium on Recent Developments in Multi Parameter Persistence
Eindhoven Univeristy of Technology (TU/e) in Eindhoven, Netherlands
Progress on Continuous (Representations of) Quivers
13 June 2023
Advances in Representation Theory of Algebras (ARTA) IX
Queen's University in Kingston, Canada
Composition Series of Arbitrary Cardinality via Modular Lattices
29 March 2023
Combinatorial Aspects of Representation Theory
Centre of Advanced Study (CAS) at the Norwegian Academy of Sciences and Letters in Oslo, Norway
Composition Series of Arbitrary Cardinality in Abelian Categories
11 May 2022
Symposium on Koszul Algebras and Abelian Categories [link]
Aarhus Universitet
Composition Series of Arbitrary Cardinality (in Abelian Categories)
4 January 2022
Flash Talks in Representation Theory
Norges Teknisk-Naturvitenskapelige Universitet (NTNU) [Virtual]
A Continuous Associahedron
9 October 2021
AMS Sectional Meeting
Quiver representations: bridging theory and application
[Virtual, originally at Creighton University]
Composition Series of Arbitrary Cardinality (in abelian categories)
11 June 2021
Seminar Representation Theory of Algebras
Universität Bielefeld [Virtual]
"Continuous" Representation Theory
18 May 2021
Algebra Seminar
Norges Teknisk-Naturvitenskapelige Universitet (NTNU) [Virtual]
Decomposition of Pointwise Finite-Dimensional Representations of the Circle
13 January 2021
Théorie de Représentations et ses Applications et Connections
Université de Sherbrooke [Virtual]
Continuous Generalized Associahedra of Type A
16 November 2020
Ghent Algebra and Geometry Seminars
Universiteit Gent [Virtual]
Decomposing Pointwise Finite-dimensional Representations of the Circle
2 October 2020
Representation Theory and Related Topics Seminar
Northeastern University [Virtual]
Cluster Theories and Continuous Mutation
29 April 2020
Séminaire D’algèbre
Université de Sherbrooke [Virtual]
The Auslander-Reiten Space
8 November 2019
Representation Theory and Related Topics Seminar
Northeastern University
New Continuous Cluster Category
17 August 2019
Homological Methods and Tilting Theory of Finite Dimensional Algebras
In Honor of Gordana Todorov's 70th Birthday
University of Iowa
Continuous Representations
16 July 2019
Functor Categories, Model Theory, and Constructive Category Theory
University of Tartu, Pärnu College
Continuous Representations: What goes right and what goes wrong? Part II
6 May 2019
Representation Theory and Related Topics Seminar
Northeastern University
Continuous Representations: What goes right and what goes wrong? Part I
3 May 2019
Representation Theory and Related Topics Seminar
Northeastern University
Other Talks
Continuous Stability Conditions of Type A and Measured Laminations of the Hyperbolic Plane
28 October 2024
Tale of Geometries
Université libre de Bruxelles
Semilinear representations and generalising species
5 June 2024
Functor and Tensor Categories, Models And Systems
Satellite Conference of the 9th European Congress of Mathematics
Universidade de Santiago de Compostela
"Continuification" of quivers and representations
7 March 2023
Algebraic Analysis, Functor Categories, and Constructive Methods
Universiteit Gent in Ghent, Belgium
A Continuous Associahedron
22 March 2023
Categories, clusters, and completions
Aarhus Universitet in Aarhus, Denmark
Continuous Stability Conditions of Type A
9 August 2022
ICRA 2022 (Conference) [link ]
Universidad de Buenos Aires
Continuous Nakayama Representations
12 July 2022
Functor Categories, Model Theory, and Constructive Category Theory
Universidad de Almería
Presentation at the request of the other organizers
Some Continuous Algebra
5 Dececmber 2020
Trans Math Day 2020
Virtual Conference
Continuous Cluster Categories
7 September 2019
XXXIème Rencontre de Théorie des Représentations des Algèbres
Université de Sherbrooke
Continuous Clusters and Continuous Mutation
28 April 2019
Maurice Auslander Distinguished Lectures and International Conference
Woods Hole Oceanographic Institution
Continuous Representations
7 September 2018
XXXème Rencontre de Théorie des Représentations des Algèbres
Université de Sherbrooke
Poster Presentations
Representaitons of Generalized Thread Quivers
[Poster ]
25-29 November 2024
New developments in representation theory of algebras
Okinawa Institute of Science and Technology
A Continuous Associahedron of Type A
[PDF Version ]
14-16 February 2022
Representation Theory and Geometry [Virtual]
Cluster Theories and Examples in Type A
[PDF Version ]
9-25 November 2020
Workshop and International Conference on Representations of Algebras (ICRA) [Virtual]
Decomposing Pointwise Finite-dimensional Representations of the Circle
[Poster ]
25-26 September 2020
Rencontre de Théorie des Représentations des Algèbres - Édition Corona [Virtual]